Quantum Phase Transitions
These web pages contain the complete preface and Chapter 1 from this book, along with abstracts of the other chapters. Errors and typos are noted in the respective chapters as they are discovered - I will be grateful if readers uncovering errors email comments to me. Student exercises are included in these web pages in Chapters 2, 4, 5, 8, 10, and 14; these will be continually updated. You can order the book online from Cambridge University Press (the U.K. or the U.S.), or from the booksellers Amazon.com (the U.K. , and the U.S.), Barnes and Noble, and Yahoo. Availibility and shipping times vary, so check all sites. |

**Update: See the second edition**

**Book Reviews in Physics Today**,

**PART I: Introduction**

1 Basic concepts

1.1 What is a quantum phase transition ?

1.2 Quantum versus classical phase transitions

1.3 Experimental examples

1.4 Theoretical models

1.4.1 Quantum Ising model

1.4.2 Quantum rotor model

2 The mapping to classical statistical mechanics: single site models

3 Overview

**PART II: Quantum Ising and Rotor Models**

4 The Ising chain in a transverse field

5 Quantum rotor models: large *N* limit

6 The *d* = 1, O(*N* ³ 3) rotor models

7 The *d* = 2, O(*N* ³ 3) rotor models

8 Physics close to and above the upper-critical dimension

9 Transport in *d* = 2

**PART III: Other Models**

10 Boson Hubbard model

11 Dilute Fermi and Bose gases

12 Phase transitions of Fermi liquids

13 Heisenberg spins: ferromagnets and antiferromagnets

14 Spin chains: bosonization

15 Magnetic ordering transitions of disordered systems, co-authored with T. Senthil

16 Quantum spin glasses